Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials

Juan Jaime Sánchez-Escobar; Liliana  I. Barbosa Santillán

doi:10.1117/1.OE.54.9.094102

10 September 2015 Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials

Juan Jaime Sánchez-Escobar, Liliana I. Barbosa Santillán

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Optical Engineering, Vol. 54, Issue 9, 094102 (September 2015). https://doi.org/10.1117/1.OE.54.9.094102

Abstract

This paper describes the use of a hybrid evolutionary optimization algorithm (HEOA) for computing the wavefront aberration from real interferometric data. By finding the near-optimal solution to an optimization problem, this algorithm calculates the Zernike polynomial expansion coefficients from a Fizeau interferogram, showing the validity for the reconstruction of the wavefront aberration. The proposed HEOA incorporates the advantages of both a multimember evolution strategy and locally weighted linear regression in order to minimize an objective function while avoiding premature convergence to a local minimum. The numerical results demonstrate that our HEOA is robust for analyzing real interferograms degraded by noise.

Sánchez-Escobar and Barbosa Santillán: Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials

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Juan Jaime Sánchez-Escobar and Liliana I. Barbosa Santillán "Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials," Optical Engineering 54(9), 094102 (10 September 2015). https://doi.org/10.1117/1.OE.54.9.094102

Published: 10 September 2015

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